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Finding the Fourth Proportional to 12,643.95, 18,965.93 and 3,283.20

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Solution

The fourth proportional to 12,643.95, 18,965.93 and 3,283.20 is: 4,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.95 : 18,965.93 = 3,283.20 : x
  2. Step 2: Convert to fraction form
    12,643.95/18,965.93 = 3,283.20/x
  3. Step 3: Cross multiply
    12,643.95x = 18,965.93 × 3,283.20
  4. Step 4: Simplify right side
    12,643.95x = 62,268,924.96
  5. Step 5: Solve for x
    x = 62,268,924.96/12,643.95
  6. Step 6: Final answer
    x = 4,924.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.